What does a high correlation coefficient suggest about the relationship between two variables?

A high correlation coefficient indicates a strong relationship between two variables, meaning that as one variable changes, there is a predictable change in the other variable. This coefficient ranges from -1 to +1, where values closer to +1 or -1 suggest a stronger relationship.

In practical terms, a high positive correlation would imply that increases in one variable correspond to increases in the other, while a high negative correlation suggests that increases in one variable are associated with decreases in the other. This strong association can be instrumental in making predictions and understanding how two factors may influence each other in various contexts.

In contrast, options suggesting weak or moderate relationships indicate a less robust connection between the variables, while a choice indicating no relationship would imply that changes in one variable do not relate to any changes in the others at all. Thus, a high correlation coefficient unequivocally supports the idea of a strong relationship.